A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces. What is the probability of filling a cup between 25 and 31 ounces? Round your answer to four decimal places. Answer Tables Normal Table - to-z Normal Table - to z Keypad Keyboard Shortcuts If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Educational Resource: Understanding Probability with Normal Distribution**

**Problem Context**

A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces. The problem asks: What is the probability of filling a cup between 25 and 31 ounces? Round your answer to four decimal places.

**Instructions**

- **Answer Section**: 
  - To determine the probability, utilize the Normal Distribution Table.
  - You can access different tables by clicking or navigating with arrow keys. The tables will help you find the probability between given z-scores.
  
- **Table Options**:
  - **Normal Table: -∞ to z**: Use this to find the cumulative probability from a negative infinity to a specific z-score.
  - **Normal Table: -∞ to z**: Similarly, this table will also guide you to the cumulative probability up to a chosen z-score.

- **Action Required**:
  - Click the cell at the intersection of the row and column corresponding to needed z-scores in the provided table.
  - Alternatively, use arrow keys to navigate and select using the space key.

Once you identify the correct probability values from these tables, calculate the probability of the machine filling a cup between 25 and 31 ounces.

**Note**: To proceed, ensure you have calculated the z-scores for both 25 and 31 ounces to use with the normal distribution tables provided. This approach will assist you in acquiring accurate results based on statistical methods.

**Final Step**: Submit your answer by pressing the "Submit Answer" button.

For assistance or further resources on using normal distribution for probability calculations, please refer to the educational materials linked on this page.
Transcribed Image Text:**Educational Resource: Understanding Probability with Normal Distribution** **Problem Context** A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces. The problem asks: What is the probability of filling a cup between 25 and 31 ounces? Round your answer to four decimal places. **Instructions** - **Answer Section**: - To determine the probability, utilize the Normal Distribution Table. - You can access different tables by clicking or navigating with arrow keys. The tables will help you find the probability between given z-scores. - **Table Options**: - **Normal Table: -∞ to z**: Use this to find the cumulative probability from a negative infinity to a specific z-score. - **Normal Table: -∞ to z**: Similarly, this table will also guide you to the cumulative probability up to a chosen z-score. - **Action Required**: - Click the cell at the intersection of the row and column corresponding to needed z-scores in the provided table. - Alternatively, use arrow keys to navigate and select using the space key. Once you identify the correct probability values from these tables, calculate the probability of the machine filling a cup between 25 and 31 ounces. **Note**: To proceed, ensure you have calculated the z-scores for both 25 and 31 ounces to use with the normal distribution tables provided. This approach will assist you in acquiring accurate results based on statistical methods. **Final Step**: Submit your answer by pressing the "Submit Answer" button. For assistance or further resources on using normal distribution for probability calculations, please refer to the educational materials linked on this page.
Expert Solution
Step 1

given data normal distributionμ = 29 ouncesσ = 4 ouncesx = weight of cupP(25<x<31) = ?

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